Benseny, AntoniMiquel Oliver, Bertran2020-02-202020-02-202019-06-20https://hdl.handle.net/2445/150857Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2019, Director: Antoni Benseny[en] The Singular Value Decomposition and the complete orthogonal decomposition algorithms are two numerical methods based on orthogonal matrix transformations. Among other usages, both are used for least square approximately solving general linear systems. Not all the systems have a unique solution, but all the possible solutions can be found. Besides, in this project, these two methods are going to be compared each other and then see how apply them to nonlinear systems in a geodesic scope.55 p.application/pdfengcc-by-nc-nd (c) Bertran Miquel Oliver, 2019http://creativecommons.org/licenses/by-nc-nd/3.0/es/Espais vectorialsTreballs de fi de grauEquacions funcionalsMatrius (Matemàtica)Àlgebra linealAnàlisi numèricaVector spacesBachelor's thesesFunctional equationsMatricesLinear algebraNumerical analysisResolution of general linear systems: numerical methods and applicationsinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess